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Median is also called ______ in an equilateral triangle. - Mathematics

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Question

Median is also called ______ in an equilateral triangle.

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Solution

Median is also called altitude in an equilateral triangle.

Explanation:

In an equilateral triangle, all sides are equal, and all angles measure 60°. Because of this symmetry:

  • The median (a line segment joining a vertex to the midpoint of the opposite side),

  • The altitude (a perpendicular dropped from a vertex to the opposite side),

  • The angle bisector, and

  • The perpendicular bisector are all the same line.

So, in an equilateral triangle, the median also acts as an altitude.

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Chapter 6: Triangles - Exercise [Page 167]

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NCERT Exemplar Mathematics [English] Class 7
Chapter 6 Triangles
Exercise | Q 53. | Page 167

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